Atkin-Lehner |
2- 3- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
64974cb |
Isogeny class |
Conductor |
64974 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
-147361032 = -1 · 23 · 35 · 73 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 13- 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-162,972] |
[a1,a2,a3,a4,a6] |
Generators |
[18:54:1] |
Generators of the group modulo torsion |
j |
-1371330631/429624 |
j-invariant |
L |
14.365832061824 |
L(r)(E,1)/r! |
Ω |
1.7325367840991 |
Real period |
R |
0.27639301694388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000085 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64974bh1 |
Quadratic twists by: -7 |